exim4 with different configtype

My goal is the following situation on my computer (ComputerA):

• send emails (generated by cron) to another local mail server (ComputerB)
• send emails (generated by a particular task) to gmail

Currently, the first part is working correctly. Here is the config files:

ComputerA

/etc/exim4/update-exim4.conf.conf

dc_eximconfig_configtype='satellite'
dc_other_hostnames='tsl.local'
dc_local_interfaces='127.0.0.1;::1;'
dc_readhost='tsl.local'
dc_relay_domains=''
dc_minimaldns='false'
dc_relay_nets=''
dc_smarthost='mail.tsl.local'
CFILEMODE='644'
dc_use_split_config='false'
dc_hide_mailname='true'
dc_mailname_in_oh='true'
dc_localdelivery='mail_spool'

/etc/aliases

root: mailuser

ComputerB

/etc/exim4/update-exim4.conf.conf

dc_eximconfig_configtype='internet'
...

/etc/aliases

mailuser: [email protected]

On ComputerA, when I run

echo 'World'| mail -s 'Hello' root

it is working correctly. In my understanding, this email is routed by ComputerB, and then to Internet.

Now I would like to be able to do the following:

echo 'World'| mail -s 'Hello' bob

And this email should be sent to a gmail address (without being routed to ComputerB).

So I edit /etc/aliases:

root: mailuser
bob: [email protected]

But then I'm not sure how to configure exim4 for a different configtype (satellite and internet).

I found example how to setup exim4 for gmail only, but not for a 'mix'.

Should I create a manual route in /etc/exim4/conf.d/router and stop using update-exim4.conf.conf?