If they fall under the same category - all Conduct or all Performance - they can group multiple offenses under one write-up (written coaching). However, it would be better to have multiple write-ups about different offenses so there is a greater chance to show a pattern of misconduct or poor performance. Three bad individual conduct or performance coachings can be worthy of a CA. For example, TM climbed steel in backroom, TM found climbing conveyor belt to go upstairs, and TM was riding a flat like a skateboard could equal grounds for a CA. Put all three in a single coaching - now you need 2 more written coachings to justify a CA.
Look at attendance - group being late and calling out on one written coaching and you'll need two more coachings for a CA. Make separate write-ups for late and calling out, next series of being late or another call-out in a short period of time would be a CA.
Your TL still has to follow procedures and give the TM adequate opportunities for improvement. A good HRBP won't allow TMs to go on CA unless they were given the opportunity to improve, unless the action is an immediate FW or Termination.