feat: add logging with our new monitor (#3)

### Explanation

_No response_

### Issue

_No response_

### Attestations

- [x] I have read and agree to the [Code of Conduct](https://docs.nhcarrigan.com/community/coc/)
- [x] I have read and agree to the [Community Guidelines](https://docs.nhcarrigan.com/community/guide/).
- [x] My contribution complies with the [Contributor Covenant](https://docs.nhcarrigan.com/dev/covenant/).

### Dependencies

- [x] I have pinned the dependencies to a specific patch version.

### Style

- [x] I have run the linter and resolved any errors.
- [x] My pull request uses an appropriate title, matching the conventional commit standards.
- [x] My scope of feat/fix/chore/etc. correctly matches the nature of changes in my pull request.

### Tests

- [ ] My contribution adds new code, and I have added tests to cover it.
- [ ] My contribution modifies existing code, and I have updated the tests to reflect these changes.
- [ ] All new and existing tests pass locally with my changes.
- [ ] Code coverage remains at or above the configured threshold.

### Documentation

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### Versioning

Minor - My pull request introduces a new non-breaking feature.

Reviewed-on: #3
Co-authored-by: Naomi Carrigan <commits@nhcarrigan.com>
Co-committed-by: Naomi Carrigan <commits@nhcarrigan.com>

src/index.ts

@@ -7,7 +7,23 @@ import { Client, Events } from "discord.js";
 import { about } from "./modules/about.js";
 import { translate } from "./modules/translate.js";
 import { instantiateServer } from "./server/serve.js";
-import { logHandler } from "./utils/logHandler.js";
+import { logger } from "./utils/logger.js";
+
+process.on("unhandledRejection", (error) => {
+  if (error instanceof Error) {
+    void logger.error("Unhandled Rejection", error);
+    return;
+  }
+  void logger.error("unhandled rejection", new Error(String(error)));
+});
+
+process.on("uncaughtException", (error) => {
+  if (error instanceof Error) {
+    void logger.error("Uncaught Exception", error);
+    return;
+  }
+  void logger.error("uncaught exception", new Error(String(error)));
+});
 
 const client = new Client({
   intents: [],
@@ -22,8 +38,16 @@ client.on(Events.InteractionCreate, (interaction) => {
   }
 });
 
+client.on(Events.EntitlementCreate, (entitlement) => {
+  void logger.log("info", `User ${entitlement.userId} has subscribed!`);
+});
+
+client.on(Events.EntitlementDelete, (entitlement) => {
+  void logger.log("info", `User ${entitlement.userId} has unsubscribed... :c`);
+});
+
 client.on(Events.ClientReady, () => {
-  logHandler.info("Bot is ready.");
+  void logger.log("debug", "Bot is ready.");
 });
 
 instantiateServer();