Stop tracking who texted first. Start noticing who bothers to text at all.

Keeping score of who reached out first turns a friendship into a standoff. You both wait, you both decide the other one does not care much, and the whole thing quietly ends over a tie nobody was even playing to win. The tally was never measuring what you thought it measured.

Look instead at who actually turns up: who remembers the thing you were nervous about, who answers when it counts. Then text the ones worth keeping even if it is your turn twice running. Reaching out is not losing, it is just how a friendship stays alive.