Can my wife start Mounjaro? (PCOS + High TSH, but stopped taking Levothyroxine)

Hey everyone, looking for some advice/experiences for my wife (31F, 5'4", 85kg).

She has PCOS and thyroid issues that all started after she took a WFH night-shift job a while back. She works out for an hour every day and has been doing Herbalife for the last 2 months, which helped her drop about 2 kilos.

She really wants to try Mounjaro to help with the PCOS and weight loss, but here is the catch: she completely stopped taking Levothyroxine about 6 months ago. The side effects were absolutely brutal for her—she felt severely depressed, weak, and actually gained weight while on it.

She just got new labs done: TSH: 13.62 (High) T3: 0.81 (Normal) T4: 5.65 (Normal)

Has anyone here started Mounjaro with similar stats or an untreated/struggling thyroid? Did it work for you, or did your doctor make you get back on a different thyroid medication first? Would love to hear your experiences before we go see a new doctor. Thanks!