There are even instructions for TortoiseHG in the official Bitbucket quiz, three pages after the link you posted.
Check this:
Run repo, compare code and create Pull request
Yes, the page is about deploying storage, primarily using the Bitbucket web interface.
But as soon as you fork out the repository, the steps to get it on your computer, change it, and return to the server are exactly the same.
These two steps in the link above describe the exact workflow, including screenshots of TortoiseHG:
- Step 2. Cloning the fork
- Step 3. Make changes to the repository source.
You can also read the TortoiseHg Quick Start Guide in the official TortoiseHG documentation.
( Step 4.8 “Retrieving from the group repository” describes cloning.)
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