I would expect no CYA in a fresh fill of city water - perhaps review the test procedure.
No pink - no chlorine.
I am not at all surprized that a pool with no CYA loses all it's FC in a day. If you haven't added any CYA then you haven't any.
If this were my new water, I'd start chlorinating with dichlor (99% Sodium Dichloro-s- Triazinetrione Dihydrate - 1% inert ingredients - 55-56 % available chlorine accept no substitutes and nothing with copper). Dichlor adds FC and CYA and drives pH down - all adjustments this pool needs. It is also a quick way to get CYA into the water. Every pound of dichlor should raise this pool's FC by about 3.2 abd CYA by about 2.9. I'd chlorinate with dichlor as needed (testing FC, CC, and pH 2-3 times daily until FC holds all day) to keep the FC above 3 until I'd used 11 pounds of dichlor. I'd then measure CYA and continue dichlor chlorination until reaching the CYA target - then switch to bleach for chlorination.