so apparently it solely depends on the libayatana-appindicator3-1 package

my1@my1-qbtp:~/Downloads$ sudo dpkg -i ./r-quick-share-main_v0.11.5_glibc-2.39_amd64.deb
(Reading database ... 253491 files and directories currently installed.)
Preparing to unpack .../r-quick-share-main_v0.11.5_glibc-2.39_amd64.deb ...
Unpacking r-quick-share (0.11.5) over (0.11.5) ...
dpkg: dependency problems prevent configuration of r-quick-share:
r-quick-share depends on libayatana-appindicator3-1; however:
Package libayatana-appindicator3-1 is not installed.

dpkg: error processing package r-quick-share (--install):
dependency problems - leaving unconfigured
Processing triggers for hicolor-icon-theme (0.17-2) ...
Processing triggers for desktop-file-utils (0.27-2build1) ...
Errors were encountered while processing:
r-quick-share

using apt instead of dpkg tries to kick out libappindicator3-1

Reading package lists... Done
Building dependency tree... Done
Reading state information... Done
Note, selecting 'r-quick-share' instead of './r-quick-share-main_v0.11.5_glibc-2.39_amd64.deb'
The following additional packages will be installed:
libayatana-appindicator3-1 libayatana-ido3-0.4-0 libayatana-indicator3-7
The following packages will be REMOVED:
libappindicator3-1
The following NEW packages will be installed:
libayatana-appindicator3-1 libayatana-ido3-0.4-0 libayatana-indicator3-7 r-quick-share
0 upgraded, 4 newly installed, 1 to remove and 0 not upgraded.
Need to get 113 kB/6.731 kB of archives.
After this operation, 18,0 MB of additional disk space will be used.
Do you want to continue? [Y/n] n
Abort.

as also seen in the control file extracted from the deb: