How to associate a Contacts record with multiple Account records?

I googled to find a solution to this before posting the question here but am not sure if the information I came across is the latest one.

I want to be able to associate a Contacts module record with multiple Account records. In my Accounts module, I have currently used up both multi-select lookup field options for other purposes, so I am guessing that's the reason why I can't select the Accounts module as an option for a multi-select lookup field in the Contacts module.

Are there other ways to solve this?

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