Linking a provider
Each of the four connectors needs to be linked to your tAI account first, from tai.artfical.com → Settings → Connectors, before the corresponding command works from tCode.
This is a one-time setup per provider, not per machine or per tCode installation. Once linked at the account level, every device signed in with that account, including any machine running tCode, can use it immediately without relinking.
If a connector is not yet linked, the corresponding command tells you that directly and plainly rather than returning an empty result, so an unlinked provider is never mistaken for "nothing found" when you search it.
Linking one provider has no effect on the others; each goes through its own login flow independently, and having Gmail linked, for instance, implies nothing about whether Linear is linked on the same account.
Once linked, a provider stays linked until you or someone with access to the account settings explicitly unlinks it; there is no automatic expiration that would require periodically relinking a connector that is already working.