Firstly the options available to you depend on the type of GivEnergy inverter you have, the AC-coupled has no PV directly connected so must have a separate PV inverter, or a hybrid inverter that has both PV connected and AC power.
The 2 options are covered under this link for the MyEnergi Zappi and related product range.
The AC-coupled inverter combined with a Zappi can benefit from an extra MyEnergi CT monitoring the inverter input/output when it is wired and configured on the Zappi for 'Avoid Drain'.
https://myenergi.info/setting-up-a-third-party-battery-with-myenergi-dev-t6945.html
I have a GivEnergy hybrid inverter, along with a myEnergi Zappi and Eddi, and have found setting the Zappi export margin to 150 W along with a start delay of 60 seconds and stop delay of 120 seconds to work sensibly.
With frequent passing clouds affecting the solar generation or regularly changing household loads there is always some drain from the battery for short periods but it quickly settles down. As I am home when charging the car from solar, I often put the Zappi in Eco mode when the solar excess averages around 1.4 kW so there is a mix of battery charge/discharge that evens out over a few hours rather than the car charge stopping and starting repeatedly. Just have to remember to set the Zappi back to Eco+ as the solar gen drops off significantly below 1.4 kW.
The principle is that the GivEnergy inverter is trying to control to 0 W import/export, at the same time as the Zappi is trying to control to 150 W export. This provides enough separation of the 2 control loops for them not to interact too often.
I do not know if the Indra car charger can be configured in the same way.