This paper presents a model-independent reconstruction of the universe's expansion history using Gaussian process (GP) regression, combining the Pantheon-Plus SN-Ia compilation with BAO measurements from SDSS-IV and DESI DR1. The results show that the ΛCDM model is included within 95% confidence intervals in both reconstructions. The DESI LRG data at z_eff = 0.51 is not an outlier in this framework. The study also explores the evolution of the total equation of state (EoS) and finds evidence of a quintessence-like dark energy scenario with a slowly varying EoS and a possible phantom-crossing at higher redshifts. When combining DESI BAO with additional SN-Ia compilations (DES-5YR and Union3), the ΛCDM model is excluded at 3σ confidence levels for DESI+DES-5YR but included within 1σ for DESI+Union3. The analysis also provides constraints on H₀r_d, finding a 2σ discrepancy between DESI+Pantheon-Plus and DESI+DES-5YR data sets. The results suggest that current SN-Ia and BAO observations cannot distinguish between early or late-time new physics to resolve the H₀ tension or detect unknown systematics in SN-Ia data. The Om diagnostic shows a non-monotonic evolution for DESI+Pantheon-Plus, indicating a possible quintessence-like dark energy scenario. The total EoS w_tot is found to be higher than the ΛCDM prediction at present, suggesting a non-phantom EoS for dark energy at late times. The analysis also shows that the inclusion or exclusion of DESI BAO LRG1 data does not affect the results. The study further examines the H₀r_d constraints from different data combinations and finds consistency at 3σ confidence levels for all combinations. The results suggest that the 2σ discrepancy between DESI+Pantheon-Plus and DESI+DES-5YR may be due to the specific dataset combination used. The paper concludes that the current results do not confirm or refute the ΛCDM model, and further investigation is needed to resolve the H₀ tension. The study also explores the use of alternative machine learning techniques for cosmological model-independent inference.This paper presents a model-independent reconstruction of the universe's expansion history using Gaussian process (GP) regression, combining the Pantheon-Plus SN-Ia compilation with BAO measurements from SDSS-IV and DESI DR1. The results show that the ΛCDM model is included within 95% confidence intervals in both reconstructions. The DESI LRG data at z_eff = 0.51 is not an outlier in this framework. The study also explores the evolution of the total equation of state (EoS) and finds evidence of a quintessence-like dark energy scenario with a slowly varying EoS and a possible phantom-crossing at higher redshifts. When combining DESI BAO with additional SN-Ia compilations (DES-5YR and Union3), the ΛCDM model is excluded at 3σ confidence levels for DESI+DES-5YR but included within 1σ for DESI+Union3. The analysis also provides constraints on H₀r_d, finding a 2σ discrepancy between DESI+Pantheon-Plus and DESI+DES-5YR data sets. The results suggest that current SN-Ia and BAO observations cannot distinguish between early or late-time new physics to resolve the H₀ tension or detect unknown systematics in SN-Ia data. The Om diagnostic shows a non-monotonic evolution for DESI+Pantheon-Plus, indicating a possible quintessence-like dark energy scenario. The total EoS w_tot is found to be higher than the ΛCDM prediction at present, suggesting a non-phantom EoS for dark energy at late times. The analysis also shows that the inclusion or exclusion of DESI BAO LRG1 data does not affect the results. The study further examines the H₀r_d constraints from different data combinations and finds consistency at 3σ confidence levels for all combinations. The results suggest that the 2σ discrepancy between DESI+Pantheon-Plus and DESI+DES-5YR may be due to the specific dataset combination used. The paper concludes that the current results do not confirm or refute the ΛCDM model, and further investigation is needed to resolve the H₀ tension. The study also explores the use of alternative machine learning techniques for cosmological model-independent inference.