[Firestore] Error adding document: Error: 4 DEADLINE_EXCEEDED: Deadline exceeded after 269.549s,metadata filters: 0.002s,LB pick: 0.002s,remote_addr=142.251.16.95:443

[REQUIRED]

* Operating System version: Linux
* Firebase SDK version: 12.1.0
* Firebase Product: Firestore
* Node.js version: 20.5.0
* NPM version: 9.8.0

I am using firebase admin sdk for this but I have attached the version number for both-
"firebase": "10.11.1",
"firebase-admin": "12.1.0",

Step 3: I have a serverless webapp which has a mostly modest write rate i.e. less than 3-4k per day. The hourly peak for writes is about 500 and for reads it is about 38k. Each of my vercel function is deployed separately but I am not sure if the DAO setup is shared between all of them or if they all get their own instances.

In dao files, I initialize the admin app and use getFirestore to generate a db client to query.

` database = getFirestore(app);`

It is weird that these errors report anywhere from 90 seconds to 200 + seconds of delay since our db is fairly small and the number of queries is also low enough that they shouldn't be blocked for this long. Most of these are user driven actions so updates of individual documents or collections will have a few seconds of gaps between them. I am nowhere close to the limits to be facing this.

I am also curious if there is a limitation on the number of connections a single database client can make with firestore db using getFirestore(app) since our connection usage peaks at 10.

#### Steps to reproduce:

There is no standard pattern to this. I get it regularly but only intermittently for the same queries.