This claim is false. There is no evidence that suggests the COVID vaccine causes breast cancer.
The article that is linked does not support this claim and specifically mentions that breast cancer is not linked with the COVID vaccine. In fact, It mentions that if you have breast cancer, you should update your COVID vaccine to protect yourself from the virus.
Although, it does mention that "If you’ve received treatment for breast cancer, and especially if you’ve had underarm lymph nodes removed, you could experience lymphedema or worsening of lymphedema as a side effect of a COVID vaccine.", but to lower this risk, you can ask to get the vaccine injected elsewhere and it's important to consult your other on where the vaccine can be injected. The CDC also has listed on their website that they reccommend the vaccine for anyone with a weak immune system and when and where to get vaccinated.
“Staying up to Date with Covid-19 Vaccines.” Centers for Disease Control and Prevention, Centers for Disease Control and Prevention, www.cdc.gov/covid/vaccines/stay-up-to-date.html. Accessed 3 Feb. 2025.