[deps] Billing: Update braintree-web-drop-in to v1.44.0 #35758

Job	Run time
Check PR run / Check	3s
Setup	7s
Build artifacts (selfhosted-open-source, dist:oss:selfhost)	5m 52s
Build artifacts (cloud-COMMERCIAL, dist:bit:cloud)	7m 26s
Build artifacts (selfhosted-COMMERCIAL, dist:bit:selfhost)	5m 52s
Build artifacts (cloud-QA, build:bit:qa, true)	5m 52s
Build artifacts (ee, build:bit:ee, true)	5m 29s
Build artifacts (cloud-euprd, build:bit:euprd)	5m 46s
Build artifacts (cloud-euqa, build:bit:euqa, true)	7m 23s
Build artifacts (cloud-usdev, build:bit:usdev, true)	6m 11s
Build Docker images (cloud-QA, web-qa-cloud)	1m 31s
Crowdin Push	0s
Trigger web vault deploy	0s
Build Docker images (ee, web-ee)	1m 33s
Build Docker images (selfhosted-COMMERCIAL, web)	1m 30s
Check for failures	27s
	55m 2s

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