Backport: Remove Scarf analytics from Airflow Webserver (#43346)

[kaxil]

Backport of #43346

Since we have already made decisions about what we want to do for Plugins in Airflow 3 and revamping the entire UI, this data isn't that important. There were also concerns raised about de-depulications and other things.

(cherry picked from commit dc25301)

---

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[kaxil]

cc @utkarsharma2 @potiuk @ashb -- Let's get this in Airflow 2.10.3

[kaxil]

Static check failure is the known transient issue

TS types generation / ESLint / Prettier against UI files...........................Failed
- hook id: ts-compile-format-lint-www
- exit code: 1

yarn install v1.22.21

[1/4] Resolving packages...

[2/4] Fetching packages...
(node:6675) [DEP0040] DeprecationWarning: The `punycode` module is deprecated. Please use a userland alternative instead.
(Use `node --trace-deprecation ...` to show where the warning was created)

error Error: https://registry.yarnpkg.com/v8-compile-cache/-/v8-compile-cache-2.3.0.tgz: Request failed "502 Bad Gateway"
    at ResponseError.ExtendableBuiltin (/home/runner/.cache/pre-commit/repo0q5gvmzk/node_env-22.2.0/lib/node_modules/yarn/lib/cli.js:696:66)
    at new ResponseError (/home/runner/.cache/pre-commit/repo0q5gvmzk/node_env-22.2.0/lib/node_modules/yarn/lib/cli.js:802:124)
    at Request.<anonymous> (/home/runner/.cache/pre-commit/repo0q5gvmzk/node_env-22.2.0/lib/node_modules/yarn/lib/cli.js:66218:16)
    at Request.emit (node:events:520:28)
    at module.exports.Request.onRequestResponse (/home/runner/.cache/pre-commit/repo0q5gvmzk/node_env-22.2.0/lib/node_modules/yarn/lib/cli.js:141751:10)
    at ClientRequest.emit (node:events:520:28)
    at HTTPParser.parserOnIncomingClient [as onIncoming] (node:_http_client:700:27)
    at HTTPParser.parserOnHeadersComplete (node:_http_common:119:17)
    at TLSSocket.socketOnData (node:_http_client:542:22)
    at TLSSocket.emit (node:events:520:28)