fix(backend): isBot not being set on `Application` type (#12248)

* fix: bot not being set on all relays

* updatePerson missing the change

* chore: replace wrong word with correct word

packages/backend/src/core/activitypub/models/ApPersonService.ts

@@ -269,7 +269,7 @@ export class ApPersonService implements OnModuleInit {
 
 		const tags = extractApHashtags(person.tag).map(normalizeForSearch).splice(0, 32);
 
-		const isBot = getApType(object) === 'Service';
+		const isBot = getApType(object) === 'Service' || getApType(object) === 'Application';
 
 		const bday = person['vcard:bday']?.match(/^\d{4}-\d{2}-\d{2}/);
 
@@ -456,7 +456,7 @@ export class ApPersonService implements OnModuleInit {
 			emojis: emojiNames,
 			name: truncate(person.name, nameLength),
 			tags,
-			isBot: getApType(object) === 'Service',
+			isBot: getApType(object) === 'Service' || getApType(object) === 'Application',
 			isCat: (person as any).isCat === true,
 			isLocked: person.manuallyApprovesFollowers,
 			movedToUri: person.movedTo ?? null,