You are absolutely correct! I apologize for that oversight. Here's the corrected table with the `TA/xxx/modelname` format for the models that were missing it:
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**Matching Models from API Provider with Data (Corrected Model Names)**
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| Model (API Provider) | Model (Original Table) | URL | Arena Score | 95% CI | Votes | Organization | License | Knowledge Cutoff | Average | Multi-choice Qs | Reasoning | Python Coding | Future Capabilities | Grade School Math | Math Problems | Context Window | Input Cost / 1M Tokens | Output Cost / 1M Tokens | Quality | Median Price / 1M Tokens | Output Tokens Per Second | Latency to First Chunk |