[doc] update reasoning doc

[reidliu41]

Since PR #14428 updated, so try to update the reasoning_outputs.md.

• link changed

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[reidliu41]

cc @DarkLight1337

[aarnphm]

One small comment

[aarnphm]

Can you change this into vllm/reasoning/deepseek_r1_reasoning_parser.py instead?

Thanks

[reidliu41]

hi, updated, PTAL

[aarnphm]

Just need to change L291, Please keep the example here.

[aarnphm]

Thanks. cc @DarkLight1337