fix: persist Beszel server selection and improve picker visibility

The server picker was invisible (opacity: 0, hover-only) and selections
were lost on refresh because setOptions only updated the React Query cache.
Add a generic saveItemOptions mutation that persists widget option changes
directly to the database, and replace the hidden icon with a visible button.

packages/api/src/router/widgets/options.ts

@@ -1,7 +1,14 @@
+import { TRPCError } from "@trpc/server";
+import SuperJSON from "superjson";
+import { z } from "zod/v4";
+
+import { eq } from "@homarr/db";
 import { getServerSettingsAsync } from "@homarr/db/queries";
+import { boards, items } from "@homarr/db/schema";
 
 import type { WidgetOptionsSettings } from "../../../../widgets/src";
-import { createTRPCRouter, publicProcedure } from "../../trpc";
+import { createTRPCRouter, protectedProcedure, publicProcedure } from "../../trpc";
+import { throwIfActionForbiddenAsync } from "../board/board-access";
 
 export const optionsRouter = createTRPCRouter({
   getWidgetOptionSettings: publicProcedure.query(async ({ ctx }): Promise<WidgetOptionsSettings> => {
@@ -16,4 +23,33 @@ export const optionsRouter = createTRPCRouter({
       },
     };
   }),
+  saveItemOptions: protectedProcedure
+    .input(
+      z.object({
+        itemId: z.string(),
+        boardId: z.string(),
+        newOptions: z.record(z.string(), z.unknown()),
+      }),
+    )
+    .mutation(async ({ ctx, input }) => {
+      await throwIfActionForbiddenAsync(ctx, eq(boards.id, input.boardId), "modify");
+
+      const item = await ctx.db.query.items.findFirst({
+        where: eq(items.id, input.itemId),
+      });
+
+      if (item?.boardId !== input.boardId) {
+        throw new TRPCError({
+          code: "NOT_FOUND",
+          message: "Specified item was not found",
+        });
+      }
+
+      const options = SuperJSON.parse<Record<string, unknown>>(item.options);
+      Object.assign(options, input.newOptions);
+      await ctx.db
+        .update(items)
+        .set({ options: SuperJSON.stringify(options) })
+        .where(eq(items.id, input.itemId));
+    }),
 });