The Canny Linear integration now supports linking to Projects in addition to Issues. With the Linear integration installed, scroll down to the "Linked issues" section of any idea, search for the project name, and select the one you want.
Canny link to Linear Projects
You'll see a confirmation on the Linear side:
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If you want statuses to stay in sync between Canny and Linear, set up your status mapping here.
The Linear integration is available to teams on any paid Canny plan.