Need y’all’s help

My daughter just turned one in December, and we’ve recently moved into my mom’s house. She’s currently teething, but her teeth aren’t coming in the typical order—she has three on the bottom, four on the top, and now her back teeth are starting to come in. She only takes a specific pacifier (Tommee Tippee), and unfortunately, we lost all of them somewhere in my mom’s house and haven’t been able to find them. My mom took me to buy new ones, but she picked out a cheaper pacifier. I told her my daughter won’t use it because she’s very particular about the kind she likes. My mom said, “Well, that’s what she’s getting. If she doesn’t take it, she doesn’t need it.” But I know my daughter and how much she relies on her specific pacifier for comfort. I’ve tried everything to help her with teething: bottles with frozen water, frozen washcloths, teething toys, and even baby numbing tablets and gel. But I can tell she still wants or needs her pacifier. What else can I do to help her through this?