[Nexus 7 Android Development] Triumph:
[/QUOTE]

I have the same issue, I have the gapps-config-grouper.txt file in \sdcard along with the open_gapps_arm_7.1-pico-20190727.zip, when I try flashing the gapps it says there isn't enough space in the system partition

Here is my open_gapps_log.txt file

# Begin Open GApps Install Log
------------------------------------------------------------------
ROM Android version | 7.1.2
ROM Build ID | NJH47F
ROM Version increment | 45df1dbe61
ROM SDK version | 25
ROM/Recovery modversion | crDroidAndroid-7.1.2-20180618-grouper-v3.8.8
Device Recovery | TWRP 3.3.1-0-f5955b1c
Device Name | grouper
Device Model | Nexus 7
Device Type | tablet
Device CPU | armeabi-v7a,armeabi
Device A/B-partitions | false
Installer Platform | arm
ROM Platform | arm
Display Density Used | 213
Install Type | Dirty[Data NOT Wiped]
Smart ART Pre-ODEX | false
Google Camera already installed | false
FaceUnlock Compatible | true
VRMode Compatible | false
Google Camera Compatible | true
New Camera API Compatible | false
Google Pixel Features | false
Current GApps Version | No GApps Installed
Runtime Permissions | Reset
Google Camera version | Legacy
Installing GApps Zipfile | /sdcard/open_gapps-arm-7.1-pico-20190727.zip
Installing GApps Version | 20190727
Installing GApps Type | pico
Config Type | include
Using gapps-config | /sdcard/gapps-config-grouper.txt
Remove Stock/AOSP Browser | false[NO_Chrome]
Remove Stock/AOSP Camera | false[NO_CameraGoogle]
Remove Stock/AOSP Dialer | false[NO_DialerGoogle]
Remove Stock/AOSP Email | true[gapps-config]
Remove Stock/AOSP Gallery | false[NO_Photos]
Remove Stock/AOSP Launcher | false[NO_GoogleNow/PixelLauncher]
Remove Stock/AOSP MMS App | false[NO_Messenger]
Remove Stock/AOSP Pico TTS | false[NO_GoogleTTS]
Ignore Google Contacts | false
Ignore Google Dialer | true[NoRemove]
Ignore Google Keyboard | false
Ignore Google Package Installer | false
Ignore Google NFC Tag | false
Ignore Google WebView | false
Total System Size (KB) | 655104
Used System Space (KB) | 534456
Current Free Space (KB) | 120648
Additional Space Required (KB) | 1780 << See Calculations Below
------------------------------------------------------------------
# End Open GApps Install Log

INSTALLATION FAILURE: Your device does not have sufficient space available in
the system partition to install this GApps package as currently configured.
You will need to switch to a smaller GApps package or use gapps-config to
reduce the installed size.

!!! WARNING !!! - Duplicate files were found between your ROM and this GApps
package. This is likely due to your ROM's dev including Google proprietary
files in the ROM. The duplicate files are shown in the log portion below.

# Begin GApps <> ROM Duplicate File List
/system/lib/libjni_latinimegoogle.so
/system/priv-app/Turbo
# End GApps <> ROM Duplicate File List

# Begin GApps Size Calculations
------------------------------------------------------------------
TYPE | DESCRIPTION | SIZE | TOTAL
| Current Free Space | 120648 | 120648
Remove | Existing GApps | + 1116 | 121764
Remove | Obsolete Files | + 924 | 122688
Remove | cmaccount | + 0 | 122688
Remove | cmsetupwizard | + 0 | 122688
Remove | cmsetupwizard | + 0 | 122688
Remove | cmupdater | + 0 | 122688
Remove | email | + 6744 | 129432
Remove | exchangestock | + 0 | 129432
Remove | extservicesstock | + 16 | 129448
Remove | extsharedstock | + 0 | 129448
Remove | hexo | + 0 | 129448
Remove | provision | + 12 | 129460
Install | Core | - 120228 | 9232
Install | calsync | - 1796 | 7436
| Buffer Space | - 9216 | -1780
------------------------------------------------------------------
Additional Space Required | 1780
------------------------------------------------------------------

# End GApps Size Calculations

# Begin User's gapps-config
Core
calsync
CMAccount
CMUpdater
CMSetupWizard
Email
ExchangeStock
Hexo

# End User's gapps-config

I went and found the first release of gapps from Feb 21st 2019 "open_gapps_arm-7.1-pico-20190221.zip' and installed that and it worked.

Not sure why, it's actually a bigger file than the latest 20190727.zip version.