The paper introduces a state-of-the-art Physics Augmented Machine Learning framework to predict the critical geomechanical property – Unconfined Compressive Strength (UCS) – in the Zubair reservoir of the Zubair field for mitigating the risk of CO₂ storage. The geomechanical results and modeling workflow were obtained via an integrated software system that was developed in Python, while all computational processes and model training were conducted in the Deepnote interactive cloud computing environment; thus, all of the necessary libraries and the high-performance processing capacities were seamlessly integrated. Through the comparison of six ensemble algorithms which are Categorical Boosting (CatBoost), XGBoost )Extreme Gradient Boosting(, RF(Random Forest Regressor), ExtraTrees (Extremely Randomized Trees), GBM (Gradient Boosting Machine), and Deep ANN (Deep Artificial Neural Networks), the research determined the most dependable models, while the Gradient Boosting model stood out by achieving UCS prediction with the best metrics of (R²=0.9995, MAE=3.64). The models are not only providing a precise and reliable but also a scalable assessment tool for subsurface stability, containment integrity, and real-time reservoir monitoring.