This work presents an iterative method for assembling large arrays of individually addressable neutral atoms using a combination of optical tweezers and cavity-enhanced optical lattices. The approach enables the creation of arrays with over 1200 sites of $^{171}$Yb atoms, achieving near-deterministic filling (99% per-site occupancy). The method involves repeatedly filling a reservoir of atoms and transferring them to a target array, allowing the array to be maintained in a filled state indefinitely. This protocol is compatible with mid-circuit reloading of atoms into a quantum processor, a key capability for running large-scale error-corrected quantum computations. The technique uses optical tweezers for microscopic rearrangement of atoms and cavity-enhanced optical lattices to create deep traps for imaging and trapping. The reservoir is repeatedly filled with fresh atoms, enabling the array to remain filled. The process involves loading atoms into the reservoir, imaging the atoms to determine trap occupancy, and then transferring atoms from the reservoir to empty sites in the target array. This cycle is repeated until the target array is filled. The method allows for high data rates in quantum simulation and computation with large system sizes, and could also benefit optical clocks for high statistical precision with low dead-time. The approach provides an alternative to the interleaved use of two atomic species, requiring no simultaneous replacement of the entire array and avoiding the need for inter-species gates. The protocol involves three main phases: loading atoms into the reservoir, imaging the atoms to determine occupancy, and filling empty sites in the target array. The system uses a core-shell configuration for the magneto-optical trap to minimize scattering and heating. The cavity-enhanced optical lattices provide efficient generation of deep traps for imaging, enabling rapid low-loss imaging of atoms. The method demonstrates a high fill fraction (99%) with minimal atom loss, and the ability to maintain a filled array for an arbitrary duration. The approach is compatible with mid-circuit reloading of atoms, which is essential for error-corrected quantum computations. The system uses a combination of optical tweezers and cavity-enhanced lattices to achieve this, with the latter providing a significant power-efficiency advantage over optical tweezers. The work highlights the potential of this method for quantum computing, simulation, and metrology, with the ability to scale to large arrays. The protocol is compatible with mid-circuit measurement techniques, enabling continuous mid-circuit refilling of array defects. The method allows for the replacement of lost atoms within a circuit, which is a key capability for executing complex error-corrected circuits. The approach is also compatible with other mid-circuit measurement protocols, including the use of two atomic species, a readout zone, an optical cavity, or shelving of population to a state that does not couple to imaging light.This work presents an iterative method for assembling large arrays of individually addressable neutral atoms using a combination of optical tweezers and cavity-enhanced optical lattices. The approach enables the creation of arrays with over 1200 sites of $^{171}$Yb atoms, achieving near-deterministic filling (99% per-site occupancy). The method involves repeatedly filling a reservoir of atoms and transferring them to a target array, allowing the array to be maintained in a filled state indefinitely. This protocol is compatible with mid-circuit reloading of atoms into a quantum processor, a key capability for running large-scale error-corrected quantum computations. The technique uses optical tweezers for microscopic rearrangement of atoms and cavity-enhanced optical lattices to create deep traps for imaging and trapping. The reservoir is repeatedly filled with fresh atoms, enabling the array to remain filled. The process involves loading atoms into the reservoir, imaging the atoms to determine trap occupancy, and then transferring atoms from the reservoir to empty sites in the target array. This cycle is repeated until the target array is filled. The method allows for high data rates in quantum simulation and computation with large system sizes, and could also benefit optical clocks for high statistical precision with low dead-time. The approach provides an alternative to the interleaved use of two atomic species, requiring no simultaneous replacement of the entire array and avoiding the need for inter-species gates. The protocol involves three main phases: loading atoms into the reservoir, imaging the atoms to determine occupancy, and filling empty sites in the target array. The system uses a core-shell configuration for the magneto-optical trap to minimize scattering and heating. The cavity-enhanced optical lattices provide efficient generation of deep traps for imaging, enabling rapid low-loss imaging of atoms. The method demonstrates a high fill fraction (99%) with minimal atom loss, and the ability to maintain a filled array for an arbitrary duration. The approach is compatible with mid-circuit reloading of atoms, which is essential for error-corrected quantum computations. The system uses a combination of optical tweezers and cavity-enhanced lattices to achieve this, with the latter providing a significant power-efficiency advantage over optical tweezers. The work highlights the potential of this method for quantum computing, simulation, and metrology, with the ability to scale to large arrays. The protocol is compatible with mid-circuit measurement techniques, enabling continuous mid-circuit refilling of array defects. The method allows for the replacement of lost atoms within a circuit, which is a key capability for executing complex error-corrected circuits. The approach is also compatible with other mid-circuit measurement protocols, including the use of two atomic species, a readout zone, an optical cavity, or shelving of population to a state that does not couple to imaging light.