The number of devices with a player installed is not automatically the number of streams an account may use at once. A service can allow installation on several devices while limiting active sessions. The supplied Pro Max project facts do not establish a universal connection allowance, so ask about the actual plan before relying on concurrent use.
Define the household need
Describe how many screens need to play at the same time, not only how many devices exist. A bedroom device used after the living-room session ends is a different usage pattern from two simultaneous live streams.
Keep app licensing separate
A player publisher may have its own device-licence rules. Those do not override the service’s connection allowance. Both layers need to fit the intended setup, and neither should be inferred from the other.
Diagnose a second-session failure carefully
A second stream failing can be consistent with an account limit, but it can also have another cause. Record the exact behavior and ask verified support. Do not repeatedly create extra sessions as a workaround.
A practical sequence
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An example to work through
Three installed players used one at a time represent a different requirement from three televisions watching simultaneously. The service terms determine what is permitted.
Questions about this topic
Does an app download grant another stream?
No. Installation does not establish service authorization.
Can a player licence override a service limit?
No. They govern different products.