Running two versions of yourself is a second job with no paycheck.

Keeping two versions of yourself running takes constant attention. You have to remember which one said what to whom, keep the stories aligned, and stay alert to the two worlds meeting. All of that runs in the background and drains something, and the reward for it is that neither version gets to be fully known. The effort is real and the payment never arrives.

Pick the smaller gap first. Say the thing one of your groups does not know about you, to one person you trust, and notice how much lighter the next week feels.