If I respond to a debt collection agency does this start the Statue of Limitations all over again?

I live in Texas and I am being hounded by a debt collection agency. I do own this debt, but I have not responded to their endless phone calls and text messages. I was told the minute I have any contact with the debt collector this will "Restart the Statute Of Limitations" and this just gives them more time to harass me or file suit.
I ‘m not sure but I think the Statute of Limitations for Credit Debt in the state of Texas is 3 years.

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