Docs: Update Tool Error Handling (#438)

* Update Tool Error Handling

* Show client lib usage

* Update pages/home/build-tools/handle-tool-errors.mdx

Co-authored-by: Evan Tahler <[email protected]>

* Link to error adapter implementation example

* Link to error adapter protocol:

---------

Co-authored-by: Evan Tahler <[email protected]>

Author: EricGustin