fix: remove last-provider deletion restriction for OMO/OMO Slim plugins

OMO and OMO Slim are OpenCode plugins, not standalone apps — users
should be able to fully remove them. Remove the count-based guard that
prevented deleting the last active provider, and clean up the now-unused
provider-count API surface across the full stack.

src/lib/api/omo.ts

@@ -5,7 +5,6 @@ export const omoApi = {
   readLocalFile: (): Promise<OmoLocalFileData> => invoke("read_omo_local_file"),
   getCurrentOmoProviderId: (): Promise<string> =>
     invoke("get_current_omo_provider_id"),
-  getOmoProviderCount: (): Promise<number> => invoke("get_omo_provider_count"),
   disableCurrentOmo: (): Promise<void> => invoke("disable_current_omo"),
 };
 
@@ -14,7 +13,5 @@ export const omoSlimApi = {
     invoke("read_omo_slim_local_file"),
   getCurrentProviderId: (): Promise<string> =>
     invoke("get_current_omo_slim_provider_id"),
-  getProviderCount: (): Promise<number> =>
-    invoke("get_omo_slim_provider_count"),
   disableCurrent: (): Promise<void> => invoke("disable_current_omo_slim"),
 };

src/lib/query/omo.ts

@@ -7,7 +7,6 @@ function createOmoQueryKeys(prefix: string) {
   return {
     all: [prefix] as const,
     currentProviderId: () => [prefix, "current-provider-id"] as const,
-    providerCount: () => [prefix, "provider-count"] as const,
   };
 }
 
@@ -20,7 +19,6 @@ function createOmoQueryHooks(
   function invalidateAll(queryClient: ReturnType<typeof useQueryClient>) {
     queryClient.invalidateQueries({ queryKey: ["providers"] });
     queryClient.invalidateQueries({ queryKey: keys.currentProviderId() });
-    queryClient.invalidateQueries({ queryKey: keys.providerCount() });
   }
 
   function useCurrentProviderId(enabled = true) {
@@ -34,17 +32,6 @@ function createOmoQueryHooks(
     });
   }
 
-  function useProviderCount(enabled = true) {
-    return useQuery({
-      queryKey: keys.providerCount(),
-      queryFn:
-        "getOmoProviderCount" in api
-          ? (api as typeof omoApi).getOmoProviderCount
-          : (api as typeof omoSlimApi).getProviderCount,
-      enabled,
-    });
-  }
-
   function useReadLocalFile() {
     return useMutation({
       mutationFn: () => api.readLocalFile(),
@@ -65,7 +52,6 @@ function createOmoQueryHooks(
   return {
     keys,
     useCurrentProviderId,
-    useProviderCount,
     useReadLocalFile,
     useDisableCurrent,
   };
@@ -82,11 +68,9 @@ export const omoKeys = omoHooks.keys;
 export const omoSlimKeys = omoSlimHooks.keys;
 
 export const useCurrentOmoProviderId = omoHooks.useCurrentProviderId;
-export const useOmoProviderCount = omoHooks.useProviderCount;
 export const useReadOmoLocalFile = omoHooks.useReadLocalFile;
 export const useDisableCurrentOmo = omoHooks.useDisableCurrent;
 
 export const useCurrentOmoSlimProviderId = omoSlimHooks.useCurrentProviderId;
-export const useOmoSlimProviderCount = omoSlimHooks.useProviderCount;
 export const useReadOmoSlimLocalFile = omoSlimHooks.useReadLocalFile;
 export const useDisableCurrentOmoSlim = omoSlimHooks.useDisableCurrent;