Fix ASI protection for private fields (#10334)

changelog_unreleased/javascript/10334.md

@@ -0,0 +1,22 @@
+#### Fix ASI protection for private fields (#10334 by @thorn0)
+
+<!-- prettier-ignore -->
+```jsx
+// Input
+class C {
+  #field = 'value';
+  ["method"]() {}
+}
+
+// Prettier stable (with --no-semi)
+class C {
+  #field = "value"
+  ["method"]() {}
+}
+
+// Prettier main (with --no-semi)
+class C {
+  #field = "value";
+  ["method"]() {}
+}
+```