Open shared search URLs in the same workspace

I found that the search URL format was recently updated:

Before:
https://app.asana.com/0/search/SEARCH_ID/SEARCH_ID
e.g. https://app.asana.com/0/search/1200354885571960/1200354885571960

After:
https://app.asana.com/0/search?q=SEARCH_KEYWORD&OTHER_PARAMETERS
e.g. https://app.asana.com/0/search?q=marketing&sort=creation_time

I sent the latter URL in a task comment.
When I click it, it opens in another workspace/org.

Is it possible to prioritize the workspace we are already in when clicking the search URL?
Another option might be to specify the workspace in the parameter, e.g.:
https://app.asana.com/0/search?q=SEARCH_KEYWORD&workspace=WORKSPACE_GID&sort=creation_time

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