You need a new tire. Sidewall patches aren't a real thing that shops do, and for good reason. The sidewall is the thinnest, most flexible part of the tire, and it's taking the full weight of your vehicle every second you're driving. A patch would just peel off or fail under that constant stress and flexing. Even if somehow it held momentarily, you'd be risking a blowout at highway speeds, which is way worse than just buying a replacement now.
Before you head to the shop, check if your tire has sidewall damage elsewhere or if the tread is already worn down. If the rest of the tire looks decent, you might be able to just replace this one instead of buying a full set, depending on your vehicle and tread depth matching requirements. Some shops are strict about matching all four tires, others are flexible if you're replacing one that's clearly newer or older than the rest. Worth asking around - sometimes you can get away cheaper that way.
One practical thing: if cost is tight and you're not planning to keep the vehicle long, some used tire shops have decent inventory. Not ideal, but if you're in a bind it beats driving on something risky.