[ML] Add DeepSeek

[prwhelan]

Create put request types, objects, and examples for DeepSeek. Verified with make validate api=inference.put.

Relates elastic/elasticsearch#122218

[github-actions]

Following you can find the validation changes for the API you have modified.

API	Status	Request	Response
inference.put_deepseek	🟠 → ⚪	Missing type → Missing test	Missing type → Missing test

You can validate this API yourself by using the make validate target.

[github-actions]

The backport to 8.19 failed:

The process '/usr/bin/git' failed with exit code 1

To backport manually, run these commands in your terminal:

# Fetch latest updates from GitHub
git fetch
# Create a new working tree
git worktree add .worktrees/backport-8.19 8.19
# Navigate to the new working tree
cd .worktrees/backport-8.19
# Create a new branch
git switch --create backport-4723-to-8.19
# Cherry-pick the merged commit of this pull request and resolve the conflicts
git cherry-pick -x --mainline 1 f190eecde34b50c608d8a728a3e88c408b3c58ea
# Push it to GitHub
git push --set-upstream origin backport-4723-to-8.19
# Go back to the original working tree
cd ../..
# Delete the working tree
git worktree remove .worktrees/backport-8.19

Then, create a pull request where the base branch is 8.19 and the compare/head branch is backport-4723-to-8.19.

[pquentin]

💚 All backports created successfully

Status	Branch	Result
✅	8.19

Questions ?

Please refer to the Backport tool documentation