gpg-agent chooses wrong identity when picking SSH key

[Faru Guredo]

Hello.

I am migrating from ssh-agent to gpg-agent and have successfully loaded my
SSH keys into the new agent,

$ ssh-add -l
4096 5c:f3:b8:34:56:31:08:88:7b:4d:a3:ce:d8:9b:62:d7
/home/faru/.ssh/first-company (RSA)
4096 d9:14:07:00:15:c4:7b:70:c4:94:73:6c:bb:5d:25:42
/home/faru/.ssh/second-company (RSA)
4096 df:19:f5:24:c7:2f:09:c3:ef:15:03:9f:aa:46:4c:06
/home/faru/.ssh/third-company (RSA)
4096 05:28:b8:2b:dc:65:55:d3:62:8b:37:e7:b5:a6:df:a4
/home/faru/.ssh/fourth-company (RSA)

And in ~/.ssh/config I have lines, telling that ~/.ssh/third-company should
be used when connecting to third-company.com

Host third-company
HostName third-company.com
User git
IdentityFile ~/.ssh/third-company

Though, when I push commits there, git on the server says 'Access denied
for first-company'. So I figured out that gpg-agent uses first available
key instead of looking at the host and settings in ~/.ssh/config
Host is defined in .git/config as

[remote "origin"]
    url = ssh://git@third-company/reponame.git

How could I fix that?
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