fix(lint): respect selected overloads in noFloatingPromises

.changeset/contributor-14-no-floating-promises-overloads.md

@@ -0,0 +1,19 @@
+---
+"@biomejs/biome": patch
+---
+
+Fixed [#9568](https://github.com/biomejs/biome/issues/9568): `noFloatingPromises` now respects adjacent TypeScript overload signatures when matching callback-based calls.
+
+Previously, overloaded helpers could be reported as floating promises whenever any overload returned a `Promise`, even if the selected overload for the current callback returned a synchronous value:
+
+```ts
+export function bestEffort<T>(cb: () => Promise<T>): Promise<T | undefined>;
+export function bestEffort<T>(cb: () => T): T | undefined;
+export function bestEffort<T>(cb: (() => T) | (() => Promise<T>)) {
+	return cb();
+}
+
+bestEffort(() => 1);
+```
+
+That synchronous call is no longer flagged, while the async callback overload still reports correctly.