Installer fails to connect to laptop-updates.brave.com when sending pings on Windows 7

[btlechowski]

Follow up from #2917

Steps to Reproduce

1. Uninstall Brave though Control Panel
2. Enable Omaha logging Regular stub installer does not send download-complete and installer-run pings #2917 (comment)
3. Run Brave stub installer
4. After installation check installer log in c:\ProgramData\BraveSoftware\Update\Log\BraveUpdate.log

Actual result:

All pings fail with error 0x80072efe when connecting to laptop-updates.brave.com

[01/21/19 03:16:29.136][BraveBrowserSilentBetaSetup-ZTT758][3792:6060][Send][url=https://laptop-updates.brave.com/1/installerEvent?platform=winx64-bc&version=0.0.0&channel=beta&ref=ZTT758&event=startup][request=][filename=]
[01/21/19 03:16:29.854][BraveBrowserSilentBetaSetup-ZTT758][3792:6060][Send response received][result 0x80072efe][status code 0][]
[01/21/19 03:17:53.427][BraveUpdate:goopdate][1128:8688][Send][url=https://laptop-updates.brave.com/1/installerEvent?platform=winx64-bc&version=0.59.26&channel=beta&ref=ZTT758&event=download-complete][request=][filename=]
[01/21/19 03:17:53.910][BraveUpdate:goopdate][1128:8688][Send response received][result 0x80072efe][status code 0][]
[01/21/19 03:18:03.115][BraveUpdate:goopdate][1128:8688][Send][url=https://laptop-updates.brave.com/1/installerEvent?platform=winx64-bc&version=0.59.26&channel=beta&ref=ZTT758&event=installer-run][request=][filename=]
[01/21/19 03:18:03.599][BraveUpdate:goopdate][1128:8688][Send response received][result 0x80072efe][status code 0][]

Full log:
BraveUpdateSilentFail.log

Important: does not reproduce on laptop-updates-pre.brave.com server

[01/21/19 05:25:48.529][BraveBrowserSilentBetaSetup-PSN487][10732:8964][Send][url=https://laptop-updates-pre.brave.com/1/installerEvent?platform=winx64-bc&version=0.0.0&channel=beta&ref=PSN487&event=startup][request=][filename=]
[01/21/19 05:25:49.379][BraveBrowserSilentBetaSetup-PSN487][10732:8964][Send response received][result 0x0][status code 200][{"ts":1548044750649,"status":"ok"}]
[01/21/19 05:26:44.484][BraveUpdate:goopdate][3412:4232][Send][url=https://laptop-updates-pre.brave.com/1/installerEvent?platform=winx64-bc&version=0.59.26&channel=beta&ref=PSN487&event=download-complete][request=][filename=]
[01/21/19 05:26:45.087][BraveUpdate:goopdate][3412:4232][Send response received][result 0x0][status code 200][{"ts":1548044806354,"status":"ok"}]
[01/21/19 05:26:46.087][BraveUpdate:goopdate][3412:4232][Send][url=https://laptop-updates-pre.brave.com/1/installerEvent?platform=winx64-bc&version=0.59.26&channel=beta&ref=PSN487&event=installer-run][request=][filename=]
[01/21/19 05:26:46.564][BraveUpdate:goopdate][3412:4232][Send response received][result 0x0][status code 200][{"ts":1548044807831,"status":"ok"}]

Full log:
BraveUpdateSilentPass.log

Expected result:

pings are sent successfully

Reproduces how often:

always

Brave version (brave://version info)

Brave	0.59.26 Chromium: 72.0.3626.64 (Official Build) beta (64-bit)
Revision	eaa9668e80ce5405e7f1902579558ea725c06ca1-refs/branch-heads/3626@{#708}
OS	Windows 7 x64

Does not reproduce on Windows 10 x64

cc @brave/legacy_qa @aekeus @emerick

[btlechowski]

During triage meeting @mkarolin suggested that TLS version could be the problem. This is likely, because the installer uses WinHttp also.
More info:
#1188 (comment)

@emerick This could be an easy fix if all we need to do is change some flags.

[bsclifton]

@btlechowski have you experienced any issues with this recently?

Would be great to see what options are available for the stub installer. It doesn't seem like TLS 1.2 is available on Windows 7/8/8.1