This question is subjective as the privacy-loss of installing a particular app is specific to individuals.
Regardless of what app it is though, you should understand that all apps can see a set amount of data, including (but not limited to):
- Phone model
- Kernel version
- Applications in the same user profile
- Local IP address*
- Public IP address*
- DNS Servers*
*Only if network permissions are given.
What an app may do with such information is subjective and it will be up to your threat model to determine if you trust the app and it's company enough to install it.
That being said, there are measures to limit what apps can see. For example, GrapheneOS allows revoking network and sensor access. GrapheneOS also provides the Storage Scope feature allowing manually selecting which directories/files an app can see. Installing apps in separate a user profiles/work profiles can isolate apps to individual profiles.