This paper explores the holographic complexity of the extended Schwarzschild-de Sitter (SdS) spacetime, focusing on various configurations of stretched horizons. The authors compute several holographic complexity conjectures, including complexity=volume (CV), complexity=volume 2.0 (CV2.0), complexity=action (CA), and complexity=anything (CAny). They find that: 1. **Hyperfast Growth in Single Inflating Patch**: In the case where only the cosmological patch is probed, all holographic complexity proposals exhibit hyperfast growth, except for a class of CAny observables that grow linearly at late times. 2. **Linear Growth in Black Hole Patch**: When gravitational observables are confined to the black hole patch, the growth rate of complexity at late times is linear, similar to the AdS case. 3. **Non-Hyperfast Growth in Mixed Configurations**: For configurations that probe both the black hole and cosmological patches, the growth of complexity is not hyperfast. Codimension-zero proposals are time-independent, while codimension-one proposals can evolve non-trivially, approaching linear growth at late times. 4. **Time Independence in Symmetric Configurations**: In configurations with multiple copies of SdS geometry, all holographic proposals are time-independent, except for a maximal surface defined at a unique time in case 3. The study highlights the different behaviors of holographic complexity in asymptotically dS spacetime, depending on the location of the stretched horizons. The results provide insights into the universal and non-universal features of holographic complexity conjectures in more general asymptotically dS geometries.This paper explores the holographic complexity of the extended Schwarzschild-de Sitter (SdS) spacetime, focusing on various configurations of stretched horizons. The authors compute several holographic complexity conjectures, including complexity=volume (CV), complexity=volume 2.0 (CV2.0), complexity=action (CA), and complexity=anything (CAny). They find that: 1. **Hyperfast Growth in Single Inflating Patch**: In the case where only the cosmological patch is probed, all holographic complexity proposals exhibit hyperfast growth, except for a class of CAny observables that grow linearly at late times. 2. **Linear Growth in Black Hole Patch**: When gravitational observables are confined to the black hole patch, the growth rate of complexity at late times is linear, similar to the AdS case. 3. **Non-Hyperfast Growth in Mixed Configurations**: For configurations that probe both the black hole and cosmological patches, the growth of complexity is not hyperfast. Codimension-zero proposals are time-independent, while codimension-one proposals can evolve non-trivially, approaching linear growth at late times. 4. **Time Independence in Symmetric Configurations**: In configurations with multiple copies of SdS geometry, all holographic proposals are time-independent, except for a maximal surface defined at a unique time in case 3. The study highlights the different behaviors of holographic complexity in asymptotically dS spacetime, depending on the location of the stretched horizons. The results provide insights into the universal and non-universal features of holographic complexity conjectures in more general asymptotically dS geometries.