Current BMI is 34, would the gastric sleeve be a good choice for me?

Gastric sleeve surgery can be recommended for people with BMI 34 if they have other weight-related health issues (like PCOS and hypothyroidism) that make weight loss more difficult. Since you’ve struggled with weight fluctuations and have difficulty achieving sustained weight loss, the sleeve could provide the metabolic "reset" you may need.
The removal of your gallbladder (cholecystectomy) does not preclude you from undergoing gastric sleeve surgery. It is, in fact, a relatively common scenario for individuals pursuing bariatric surgery, as gallbladder disease and weight challenges often coexist.

A gastric sleeve (sleeve gastrectomy) can be a good option for individuals with a BMI of 34, especially if you have obesity-related health conditions such as type 2 diabetes, hypertension, sleep apnea, high cholesterol, elevated triglycerides, infertility, polycystic ovary syndrome, or others. For patients with a BMI of 34, the decision to proceed with a gastric sleeve largely depends on whether you have obesity-related comorbidities. While bariatric surgery is typically recommended for patients with a BMI of 35 or higher, patients with a BMI between 30 and 35 may still benefit from the procedure if they have significant health issues related to their weight.I evaluate each case individually, taking into account factors like the patient's overall health, previous weight loss attempts, and the potential benefits versus risks of surgery.

The current guidelines indicate the surgery for patients with BMI of 35 and above. BMI of 30-35 can make you qualified if you have a major medical condition due to obesity, like Diabetes, Hypertension and Sleep Apnea. Your doctor can look for the above. You may be able, and definitely benefit from Gastric Sleeve, with a BMI of 34 but need to find a and experienced surgeon.