how to fix errors caused by -Wconversion?

I have a piece of fake/sample code:

#include <stdint.h>

uint8_t func(uint16_t val0, uint16_t val1, uint16_t val2)
{
    uint8_t r;
    val0 += 0x7F;
    val1 += (uint16_t)0x7F;
    val2 += 0x7FU;
    r = (uint8_t)((val0+val1+val2) >> 8);
    r <<= (uint8_t)(val2 & 0x3);
    return r;
}

Here are the errors I get:

$ gcc -Wall -Wextra -Wconversion -O0 module.c -c -o module.o 
module.c: In function 'func':
module.c:6:10: warning: conversion from 'int' to 'uint16_t' {aka 'short unsigned int'} may change value [-Wconversion]
    6 |  val0 += 0x7F;
      |          ^~~~
module.c:7:10: warning: conversion from 'int' to 'uint16_t' {aka 'short unsigned int'} may change value [-Wconversion]
    7 |  val1 += (uint16_t)0x7F;
      |          ^
module.c:8:10: warning: conversion from 'unsigned int' to 'uint16_t' {aka 'short unsigned int'} may change value [-Wconversion]
    8 |  val2 += 0x7FU;
      |          ^~~~~
module.c:10:8: warning: conversion from 'int' to 'uint8_t' {aka 'unsigned char'} may change value [-Wconversion]
   10 |  r <<= (uint8_t)(val2 & 0x3);
      |        ^

The example shows some ways I tried to fix the problem (e.g. cast)

Any suggestion?

EDIT:

modified example