[7.x] [Alerting UI] Replaced AlertsContextProvider with KibanaContextProvider and exposed components in API (#84604)

[YulNaumenko]

Backports the following commits to 7.x:

• [Alerting UI] Replaced AlertsContextProvider with KibanaContextProvider and exposed components in API ([Alerting UI] Replaced AlertsContextProvider with KibanaContextProvider and exposed components in API #84604)

[kibanamachine]

💚 Build Succeeded

• continuous-integration/kibana-ci/pull-request
• Commit: f54cb83

Metrics [docs]

Module Count

Fewer modules leads to a faster build time

id	before	after	diff
triggersActionsUi	285	286	+1
uptime	531	530	-1
total			-0

Async chunks

Total size of all lazy-loaded chunks that will be downloaded as the user navigates the app

id	before	after	diff
apm	3.1MB	3.1MB	-133.0B
infra	2.7MB	2.7MB	-1.1KB
monitoring	950.0KB	949.3KB	-798.0B
stackAlerts	114.2KB	114.3KB	+138.0B
triggersActionsUi	1.5MB	1.5MB	-1.1KB
uptime	995.0KB	994.1KB	-833.0B
total			-3.7KB

Page load bundle

Size of the bundles that are downloaded on every page load. Target size is below 100kb

id	before	after	diff
apm	48.8KB	48.8KB	+60.0B
infra	182.1KB	181.7KB	-435.0B
monitoring	35.7KB	35.4KB	-239.0B
triggersActionsUi	161.8KB	161.8KB	-31.0B
uptime	24.9KB	24.7KB	-244.0B
total			-889.0B

To update your PR or re-run it, just comment with:
@elasticmachine merge upstream