Segment Analytics POC

[benthomasson]

This PR is a POC for using Segment and aap-mcp-server together.

This code correctly sends telemetry to segment when the server starts and stops:

[benthomasson]

Now sends UI analytics as well:

[benthomasson]

The test coverage for the added files is very high:

`--------------------|---------|----------|---------|---------|-------------------------------------------------------

File	% Stmts	% Branch	% Funcs	% Lines	Uncovered Line #s
All files	23.94	90.47	84.74	23.94
src	25.86	93.57	85.71	25.86
analytics.ts	99.1	96	100	99.1	192-193
...
utils.ts	88.88	90	100	88.88	44-46
--------------------	---------	----------	---------	---------	-------------------------------------------------------`

[benthomasson]

This was an exercise in heavily using claude code. It needs thorough review.

[benthomasson]

@jameswnl @goneri is this POC useful for segment integration?

[goneri]

Hi @benthomasson,

We won't enable the UI in production. The analytics will only cover the /mcp endpoints.

[benthomasson]

@mabashian can you help test this POC?

[benthomasson]

@mabashian tested this POC in his environment and was able to send events to segment with it: