Add task_id list and elements to task `search` method

[codecov-commenter]

Codecov Report

Base: 82.08% // Head: 82.04% // Decreases project coverage by -0.04% :warning:

Coverage data is based on head (fe2c074) compared to base (80f4686). Patch coverage: 75.00% of modified lines in pull request are covered.

Additional details and impacted files

```diff @@ Coverage Diff @@ ## main #709 +/- ## ========================================== - Coverage 82.08% 82.04% -0.05% ========================================== Files 36 36 Lines 1742 1749 +7 ========================================== + Hits 1430 1435 +5 - Misses 312 314 +2 ``` | [Impacted Files](https://codecov.io/gh/materialsproject/api/pull/709?src=pr&el=tree&utm_medium=referral&utm_source=github&utm_content=comment&utm_campaign=pr+comments&utm_term=materialsproject) | Coverage Δ | | |---|---|---| | [mp\_api/client/routes/tasks.py](https://codecov.io/gh/materialsproject/api/pull/709/diff?src=pr&el=tree&utm_medium=referral&utm_source=github&utm_content=comment&utm_campaign=pr+comments&utm_term=materialsproject#diff-bXBfYXBpL2NsaWVudC9yb3V0ZXMvdGFza3MucHk=) | `86.20% <75.00%> (-4.71%)` | :arrow_down: | Help us with your feedback. Take ten seconds to tell us [how you rate us](https://about.codecov.io/nps?utm_medium=referral&utm_source=github&utm_content=comment&utm_campaign=pr+comments&utm_term=materialsproject). Have a feature suggestion? [Share it here.](https://app.codecov.io/gh/feedback/?utm_medium=referral&utm_source=github&utm_content=comment&utm_campaign=pr+comments&utm_term=materialsproject)

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