Fix spelling mistakes in comments and documentation

[dhruvil-codes]

Summary

This PR fixes several minor spelling mistakes in comments and documentation across the repository.

Changes

• separate
• separated
• dependent
• occurred
• publicly
• successful
• co-occurrence

These are documentation-only changes and do not affect runtime behavior.

[CLAassistant]

Thank you for your submission! We really appreciate it. Like many open source projects, we ask that you sign our Contributor License Agreement before we can accept your contribution.
_{You have signed the CLA already but the status is still pending? Let us recheck it.}